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矩形网格扁壳结构的非线性振动

聂国华

聂国华. 矩形网格扁壳结构的非线性振动[J]. 应用数学和力学, 1994, 15(6): 495-504.
引用本文: 聂国华. 矩形网格扁壳结构的非线性振动[J]. 应用数学和力学, 1994, 15(6): 495-504.
Nie Guo-hua. Non-Linear Vibration of Rectangular Retlculated Shallow Shell Structures[J]. Applied Mathematics and Mechanics, 1994, 15(6): 495-504.
Citation: Nie Guo-hua. Non-Linear Vibration of Rectangular Retlculated Shallow Shell Structures[J]. Applied Mathematics and Mechanics, 1994, 15(6): 495-504.

矩形网格扁壳结构的非线性振动

Non-Linear Vibration of Rectangular Retlculated Shallow Shell Structures

  • 摘要: 本文运用作者已建立的矩形网格扁壳的非线性弹性理论,求解了该类结构的非线性振动问题。通过采用横向挠度(网格节点横向位移)和力函数的某种(广义)Fourier级数形式的设定解,由试函数的加权得到解中系数之间的关系和决定时间未知函数的振动方程,然后利用正则摄动法和迦辽金法推导出结构自由振动和谐和激励作用下结构非线性受迫振动的幅频关系,并给出了计算实例。
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出版历程
  • 收稿日期:  1992-09-26
  • 刊出日期:  1994-06-15

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